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Simplifying 13 + -3z = -5(3 + 2z) 13 + -3z = (3 * -5 + 2z * -5) 13 + -3z = (-15 + -10z) Solving 13 + -3z = -15 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 13 + -3z + 10z = -15 + -10z + 10z Combine like terms: -3z + 10z = 7z 13 + 7z = -15 + -10z + 10z Combine like terms: -10z + 10z = 0 13 + 7z = -15 + 0 13 + 7z = -15 Add '-13' to each side of the equation. 13 + -13 + 7z = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 7z = -15 + -13 7z = -15 + -13 Combine like terms: -15 + -13 = -28 7z = -28 Divide each side by '7'. z = -4 Simplifying z = -4
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